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Finding the Third Proportional to 284,642 and 619,396

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Solution

The third proportional to 284,642 and 619,396 is: 1,347,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,642 : 619,396 = 619,396 : x
  2. Step 2: Convert to fraction form
    284,642/619,396 = 619,396/x
  3. Step 3: Cross multiply
    284,642x = 619,396 × 619,396
  4. Step 4: Simplify right side
    284,642x = 383,651,404,816
  5. Step 5: Solve for x
    x = 383,651,404,816/284,642
  6. Step 6: Final answer
    x = 1,347,838.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.